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vova2212
6 days ago
10

which table represents viable solutions for y=5x, where x is the number of tickets sold for the school play a y is the amount of

money collected for the tickets?

Mathematics
1 answer:
AnnZ [3.8K]6 days ago
8 0

Given:

The equation at hand is:

y=5x

In this context, x represents the total tickets sold for the school play, while y indicates the total revenue generated from ticket sales.

To find:

The appropriate table of values from the provided options.

Solution:

It's clear that both the number of tickets and the revenue collected cannot be negative, which means that options A and B are not viable.

We have:

y=5x

For x=0,

y=5(0)

y=0

For x=10,

y=5(10)

y=50

For x=51,

y=5(51)

y=255

For x=400,

y=5(400)

y=2000

In option C, the ordered pairs (0,0), (10,50), (51,255), (400,2000) are present in the table. Thus, option C is the correct choice.

For x=65

y=5(65)

y=325

As the ordered pair (65,350) does not fulfill the requirements of the equation, thus option D is incorrect.

Consequently, the right option is C.

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15 days ago
Add 0.0025 kg, 1750 mg, 2.25 g, and 825,000 μg, and express the answer in grams.
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Answer:

6.75g

Step-by-step explanation:

The initial step is to convert all values to grams using rules of three, followed by summation.

In a rule of three calculation, the first step is identifying the measures and how they interrelate; whether their connection is direct or inverse.

In direct relationships, as one measure increases, so does the other.

In inverse relationships, as one measure increases, the other decreases.

Problems involving unit conversion, like this, illustrate a direct relationship between measures.

First step: convert 0.0025kg to grams

One kilogram equals 1000 grams, so:

1kg - 1000g

0.0025kg - xg

x = 1000*0.0025 = 2.5g

Thus, 0.0025kg is equal to 2.5g

Second step: handle 1750 mg

One gram consists of 1000mg, so:

1g - 1000mg

xg - 1750mg

1000x = 1750

x = \frac{1750}{1000}

x = 1.75g

Therefore, 1750 mg converts to 1.75g

2.25g is fine

Third step: convert 825,000 μg to grams

One gram consists of 1,000,000 micrograms, so:

1g - 1,000,000 μg

xg - 825,000 μg

1,000,000x = 825,000

x = \frac{825,000}{1,000,000}

x = 0.25g

So, 825,000 μg equals 0.25g

Final step: sum all values

0.25g + 2.25g + 1.75g + 2.50g = 6.75g

8 0
9 days ago
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